257148432 has 180 divisors, whose sum is σ = 799132880. Its totient is φ = 79828416.

The previous prime is 257148431. The next prime is 257148467. The reversal of 257148432 is 234841752.

It is a happy number.

257148432 is a `hidden beast` number, since 2 + 571 + 4 + 84 + 3 + 2 = 666.

257148432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257148432² = 132250632160117248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (53760) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (257148431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4358419 + ... + 4358477.

Almost surely, 2^257148432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257148432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399566440).

257148432 is an abundant number, since it is smaller than the sum of its proper divisors (541984448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257148432 is an equidigital number, since it uses as much as digits as its factorization.

257148432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 83 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 257148432 is about 16035.8483405151. The cubic root of 257148432 is about 635.9084952013.

The spelling of 257148432 in words is "two hundred fifty-seven million, one hundred forty-eight thousand, four hundred thirty-two".